Local-Global Two-Phase Upscaling of Flow and Transport in Heterogeneous Formations
Authors:
- Yuguang ChenYCYuguang Chen
- Yan LiYLYan Li
- 1 January 2009
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in Multiscale Modeling & Simulation
- Vol. 8 (1) , 125-153
Abstract
Flow and transport in subsurface formations are affected by geological variability over multiple length scales. In this work, we develop a local-global two-phase upscaling approach to generate upscaled transport functions. The upscaling of multiphase flow parameters is challenging, due to their strong dependency on global flow effects. The local-global two-phase upscaling directly incorporates global coarse-scale two-phase solutions into local two-phase upscaling calculations. It effectively captures the impact of global flow, while avoiding global two-phase fine-scale simulations. The local boundary conditions are updated with time-dependent coarse-scale solutions. It therefore captures the global flow effects both spatially and temporally. The method is applied to permeability distributions with various correlation lengths and for different fluid-mobility ratios. Numerical results show that it consistently improves upon existing two-phase upscaling methods (e.g., upscaling with effective flux boundary conditions) and provides accurate coarse-scale solutions for both flow and transport.Keywords
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